What is the Least Common Multiple of 29008 and 29014?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29008 and 29014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29008 and 29014, than apply into the LCM equation.

GCF(29008,29014) = 2
LCM(29008,29014) = ( 29008 × 29014) / 2
LCM(29008,29014) = 841638112 / 2
LCM(29008,29014) = 420819056

Least Common Multiple (LCM) of 29008 and 29014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29008 and 29014. First we will calculate the prime factors of 29008 and 29014.

Prime Factorization of 29008

Prime Factorization of 29014

Now multiplying the highest exponent prime factors to calculate the LCM of 29008 and 29014.

LCM(29008,29014) = 2⁴ × 7² × 37¹ × 89¹ × 163¹
LCM(29008,29014) = 420819056